It looks like the Cholesky decomposition article uses block matrix notation, so it looks like it will be useful, just not for the reason I was expecting. Thank you Ala'a.
- Rowan On Wed, Apr 29, 2020 at 2:24 AM Rowan Cannaday <cannad...@gmail.com> wrote: > I believe I've figured out what was confusing me. The notation used in > Golub/Van Loan is referred to as "block matrix notation". > > If only there was some sort of... universal math notation that didn't rely > on per-topic experience and context clues... ;) > > - Rowan > > On Tue, Apr 28, 2020 at 9:04 PM Ala'a Mohammad <amal...@gmail.com> wrote: > >> Hi, >> >> I assumed that same technique can be used for QR algorithm. check the >> algorithm section. >> >> Regards, >> >> Ala'a >> >> On Wed, Apr 29, 2020 at 12:54 AM Rowan Cannaday <cannad...@gmail.com> >> wrote: >> >>> Thank you. The Cholesky decomposition is related but not what I'm >>> implementing at the moment. However this will likely be useful in the >>> future. >>> >>> Even the name "QR algorithm" seems to be something of a misnomer. From >>> the wikipedia page: >>> >>> " in the modern implicit version of the procedure no QR decompositions >>> <https://en.m.wikipedia.org/wiki/QR_decomposition> are explicitly >>> performed, some authors, for instance Watkins,[8] >>> <https://en.m.wikipedia.org/wiki/QR_algorithm#cite_note-8> suggested >>> changing its name to *Francis algorithm"* >>> >>> *https://en.wikipedia.org/wiki/QR_algorithm >>> <https://en.wikipedia.org/wiki/QR_algorithm>* >>> >>> - Rowan >>> >>> On Tue, Apr 28, 2020, 4:37 PM Ala'a Mohammad <amal...@gmail.com> wrote: >>> >>>> Hi, >>>> >>>> This may be related: >>>> https://www.dyalog.com/blog/2015/01/cholesky-decomposition/ >>>> >>>> HiH. >>>> >>>> Regards, >>>> >>>> Ala'a >>>> >>>> On Wed, Apr 29, 2020 at 12:24 AM Rowan Cannaday <cannad...@gmail.com> >>>> wrote: >>>> >>>>> Is anybody familiar with the QR algorithm, or the notation used in >>>>> Golub & Van Loan's book "Matrix Computations"? >>>>> >>>>> I am working my way towards building an APL linear algebra toolkit, >>>>> and am having trouble deciphering what some of the steps signify. >>>>> >>>>> Any other communities that might be able to assist me is also helpful >>>>> - for example a mailing list. >>>>> >>>>> The 4th edition should be available as a PDF online (although I will >>>>> not link to it), and my specific question is linked below: >>>>> >>>>> https://math.stackexchange.com/questions/3648588/implementing-qr-algorithm-from-golub-van-loans-matrix-computations-notati >>>>> >>>>> Figured it would be worth a shot. >>>>> >>>>> Cheers y'all. >>>>> >>>>> - Rowan >>>>> >>>>
